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https://doi.org/10.1...arrow_drop_down
https://doi.org/10.1007/bfb003...
Part of book or chapter of book . 2005 . Peer-reviewed
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https://dx.doi.org/10.1007/bfb...
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Networks methods for endomorphisms of semimodules over min-plus algebras

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 11 Dec 2005 English Publisher:Springer Science and Business Media LLC
Authors: Peter I. Dudnikov; Sergei N. Samborski;

doi: 10.1007/bfb0033563

Networks methods for endomorphisms of semimodules over min-plus algebras

Abstract

It is natural to consider the mapping A as an "integral" operator with the kernel a(x, ~) = L(x , ~ x) in a functional semimodule over the semiring ~ = R U (+e~) with the operations ~ = min, (D = + [ I, 2]. The usual method of computation of an integral operator consists in replacing it by a sum over the nodes of a network. Below we investigate convergence in terms of which this procedure applied to the operator A of the problem (1) is correct.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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